Question

Solve the following

Answer 1

Answer:

${a}^{2} + {b}^{2} \\ = {( \frac{1}{7 - 4 \sqrt{3} }) }^{2} + { (\frac{1}{7 + 4 \sqrt{3} }) }^{2} \\ = ( \frac{1}{49 + 16 \times 3}) + ( \frac{1}{49+ 16 \times {3} } ) \\ = \frac{1}{49 + 48} + \frac{1}{49 + 48} \\ = \frac{1}{97} + \frac{1}{97} \\ = \frac{2}{97}$